Question

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answer 1

x = y = 10

Explanation:

This is a 45-45-90 triangle. This means the values of x and y are equal.

The formula for hypotenuse of this type of triangle s
`√(2)` where s is the side length.

s
`√(2)` = 10
`√(2)`

Therefore, s = 10; x = y = 10.

Note that the side lengths of 45-45-90 triangles are equal because their angles are equal. 45-45-90 triangles are also isosceles right triangles.